Illums have the highest DPS potential. this does not make them the best LRF.
lining up side-beam shots requires you to bring the Illums significantly closer to the enemy, almost negating the range advantage in the first place. you're trading safety for damage. alot of damage actually, so its a worthwhile trade most of the time.
Assailants have the longest range by far if you count the boost from Charged Missiles. they also benefit the most from upgrades since Shield Bypass is the strongest DPS increase for any weapon system you can research, and you're definitely going to research it since it benefits your squadrons as well.
Javelis probably produce the highest damage on a fleet-wide basis though since you can produce 50% more of them then Illums or Assailants. the extra numbers more than make up for their shortcomings.
i think the most significant factor in comparing these 3 ships is not anything related to the ships themselves though. its the Energy Amplification Aura on the Halcyon Carrier. Illuminators with +22% firing speed are the best LRFs by a gigantic margin. Without a Halycyon supporting them they aren't noticeably better than the other LRFS.